Abstract
The X-ray in-line phase-contrast imaging technique requires that the light source provides a spatially coherent X-ray beam typically generated by a microfocus X-ray tube in most laboratories. However, its small focal spot limits the lightness. An arrayed X-ray point source can overcome this drawback and provide an adequately bright spatial coherent light. However, the arrayed source will introduce artefacts to the phase-contrast image due to the point source spatial distribution. To eliminate these artefacts, an optimization-based algorithm is used to reconstruct the image as an optimization problem. An iterative method was developed to numerically solve the optimization problem by using the first-order primal-dual algorithm. The simulations demonstrate its convergence and reconstruction accuracy.
Highlights
Several X-ray phase-contrast imaging techniques have been developed for many years due to their ability to transform the phase distribution into an intensity image
Since lt is inversely proportional to the size of the focal spot, σ, a microfocus X-ray tube can provide such spatially coherent X-ray light
The primal-dual optimization algorithm developed by Chambolle and Pock (CP) was introduced in this work to reconstruct the phase-contrast image [14], [15]
Summary
Several X-ray phase-contrast imaging techniques have been developed for many years due to their ability to transform the phase distribution into an intensity image. INDEX TERMS X-ray, image reconstruction, algorithms, phase detection. In the literature [13], an X-ray arrayed source has been applied in propagation-based phase-contrast imaging. We directly employ X-ray arrayed sources in phase-contrast imaging instead of using polycapillary devices which generates secondary sources.
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